Question

Evaluate this dimensional analysis setup. A paperclip is 3.2 cm long. How many paperclips would fit in the length of a soccer field (100 meters)? Show all conversion factors, all steps, and proper setup.

a) 3125 paperclips

b) 31250 paperclips

c) 312500 paperclips

d) 3125000 paperclips

Answer 1

To find out how many 3.2 cm long paperclips would fit in a 100-meter soccer field, convert the field's length to centimeters and divide by the length of one paperclip, resulting in 3125 paperclips.

Step-by-step explanation:

The question asks us to determine how many paperclips would fit in the length of a soccer field, assuming a paperclip is 3.2 cm long and the soccer field is 100 meters long.

First, we need to convert the length of the soccer field to the same unit of measurement as the paperclip. A soccer field is 100 meters long and there are 100 centimeters in a meter, so:

1. Multiply the length of the soccer field in meters by the conversion factor to get centimeters: 100 meters x 100 cm/meter = 10,000 cm.
2. Then, divide the total length of the field in centimeters by the length of one paperclip to find out how many paperclips would fit: 10,000 cm ÷ 3.2 cm/paperclip = 3125 paperclips.

Thus, the correct answer is 3125 paperclips, option (a).